I. Berkes, W. Liu, and W. Wu, Koml??s???Major???Tusn??dy approximation under dependence, The Annals of Probability, vol.42, issue.2, pp.794-817, 2014.
DOI : 10.1214/13-AOP850
URL : http://arxiv.org/abs/1402.6517

J. Conze, L. Hervé, L. , and A. Raugi, Pavages auto-affines, op???rateurs de transfert et crit???res de r???seau dans ? d, Boletim da Sociedade Brasileira de Matem???tica, vol.9, issue.5, pp.1-42, 1997.
DOI : 10.1007/BF01235987

C. Cuny, J. Dedecker, and F. Merlevède, On the Komlós, Major and Tusnády strong approximation for some classes of random iterates

J. Dedecker, Inégalités de Hoeffding et théorème limite central pour des fonctions peu régulì eres de cha??nescha??nes de Markov non irréductibles, Ann. I.S.U.P, vol.52, issue.12, pp.39-46, 2008.

J. Komlós, P. Major, and G. Tusnády, An approximation of partial sums of independent RV's, and the sample DF. II, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.3, issue.1, pp.33-58, 1976.
DOI : 10.1007/BF00532688

A. Sakhanenko, Estimates in the invariance principle in terms of truncated power moments, Siberian Mathematical Journal, vol.36, issue.2, pp.1355-1371, 2006.
DOI : 10.1007/s11202-006-0119-1

F. Merlevède and E. Rio, Strong approximation for additive functionals of geometrically ergodic Markov chains, Electronic Journal of Probability, vol.20, issue.0, p.pp, 2015.
DOI : 10.1214/EJP.v20-3746

X. Shao and W. Wu, Limit theorems for iterated random functions, Journal of Applied Probability, vol.41, issue.2, pp.425-436, 2004.

W. B. Wu, Nonlinear system theory: Another look at dependence, Proc. Natl. Acad. Sci. USA, pp.14150-14154, 2005.
DOI : 10.1214/aos/1035844982
URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1242319